Numerical solution of time fractional diffusion systems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.02.004 ◽

2017 ◽

Vol 116 ◽

pp. 82-94 ◽

Cited By ~ 22

Author(s):

Kevin Burrage ◽

Angelamaria Cardone ◽

Raffaele D'Ambrosio ◽

Beatrice Paternoster

Keyword(s):

Numerical Solution ◽

Fractional Diffusion ◽

Diffusion Systems

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Numerical solution of nonlinear cross-diffusion systems by a linear scheme

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410243 ◽

2019 ◽

Author(s):

Hideki Murakawa

Keyword(s):

Numerical Solution ◽

Cross Diffusion ◽

Diffusion Systems ◽

Linear Scheme

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Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient

Journal of Computational and Theoretical Transport ◽

10.1080/23324309.2016.1263667 ◽

2016 ◽

Vol 46 (2) ◽

pp. 122-146 ◽

Cited By ~ 5

Author(s):

Guangsheng Chi ◽

Gongsheng Li ◽

Chunlong Sun ◽

Xianzheng Jia

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Numerical Solution ◽

Fractional Diffusion ◽

Space Time ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

And Inversion

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Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-1508-3 ◽

2016 ◽

Vol 40 ◽

pp. 1118-1133 ◽

Cited By ~ 1

Author(s):

Saeid GHOLAMI ◽

Esmail BABOLIAN ◽

Mohammad JAVIDI

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Operational Matrix ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Stable numerical solution to a Cauchy problem for a time fractional diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.12.002 ◽

2014 ◽

Vol 40 ◽

pp. 128-137 ◽

Cited By ~ 15

Author(s):

T. Wei ◽

Z.Q. Zhang

Keyword(s):

Cauchy Problem ◽

Diffusion Equation ◽

Numerical Solution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Numerical solution of time-dependent component with sparse structure of source term for a time fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.11.012 ◽

2019 ◽

Vol 77 (5) ◽

pp. 1408-1422 ◽

Cited By ~ 1

Author(s):

Zhousheng Ruan ◽

Sen Zhang ◽

Wen Zhang

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Source Term ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Dependent Component ◽

Time Fractional Diffusion Equation

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Distributed Event-Triggered Output Feedback Control for Semilinear Time Fractional Diffusion Systems

Nonlinear Dynamics and Control ◽

10.1007/978-3-030-34747-5_25 ◽

2020 ◽

pp. 245-253

Author(s):

Fudong Ge ◽

YangQuan Chen

Keyword(s):

Feedback Control ◽

Output Feedback ◽

Output Feedback Control ◽

Fractional Diffusion ◽

Diffusion Systems ◽

Event Triggered

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Numerical solution for the linear time and space fractional diffusion equation

Journal of Vibration and Control ◽

10.1177/1077546313500687 ◽

2013 ◽

Vol 21 (9) ◽

pp. 1769-1777 ◽

Cited By ~ 2

Author(s):

Talaat S El Danaf

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Linear Time ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time And Space ◽

Space Fractional Diffusion Equation

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Observer-based event-triggered control for semilinear time-fractional diffusion systems with distributed feedback

Nonlinear Dynamics ◽

10.1007/s11071-019-05338-2 ◽

2019 ◽

Vol 99 (2) ◽

pp. 1089-1101 ◽

Cited By ~ 3

Author(s):

Fudong Ge ◽

YangQuan Chen

Keyword(s):

Fractional Diffusion ◽

Distributed Feedback ◽

Diffusion Systems ◽

Event Triggered

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Network modelling of reaction-diffusion systems and their numerical solution using spice

Chemical Engineering Science ◽

10.1016/0009-2509(80)85035-4 ◽

1980 ◽

Vol 35 (10) ◽

pp. 2115-2127 ◽

Cited By ~ 34

Author(s):

John L. Wyatt ◽

Donald C. Mikulecky ◽

John A. DeSimone

Keyword(s):

Numerical Solution ◽

Reaction Diffusion ◽

Network Modelling ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method

The European Physical Journal Plus ◽

10.1140/epjp/i2019-12845-1 ◽

2019 ◽

Vol 134 (10) ◽

Cited By ~ 2

Author(s):

M. S. Hashemi ◽

Mustafa Inc ◽

M. Parto-Haghighi ◽

Mustafa Bayram

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Integration Method ◽

Time Integration ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Time Integration Method

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